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$D and E are points on equal...$

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D and E are points on equal sides AB and AC of an isoceles triangle ABC such that AD=AE. Prove that B,C, E are concyclic

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Practice important Questions

R.D. Sharma Solutions for Class 10 Chapter 4 2

130 Qs

Which of the following can be used to prove that $Δ A B C ≅ Δ D E F$ ?

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In the given figure, $R S = Q T$ and $Q S = R T .$ Prove that $P Q = P R$

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Two vertical poles 20 m and 80 m high stand apart on a horizontal plane. The height of the point of intersection of the lines joining the top of each pole to the foot of the other is a' metros. Find 'a'

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In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.

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Tiara wants to know the width of the given river. While doing so, she stands on the edge of the river and look straight across to a point on the other edge without changing the inclination of the neck and head. She turns side ways until the vision is in line with a point on the side of the stream.
From the above description, find the value of QR.

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Given : $Δ N S Q ≅ Δ M T R$
$∠ 1 = ∠ 2$
To prove : $Δ P S T \sim Δ P Q R$

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Looking at the figure select which method you would use to you prove $M L ≅ M N . O M$ bisects $∠ L M N$

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In the given figure, OA = OC and AB = BC.
then, $∠ A O B = 9 0^{\circ}$

State whether the above statement is true or false.

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Which of the following statements is true?

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In the alongside diagram, ABCD is a parallelogram in which AP bisects angle A and BQ bisects angle B.
State whether true or false for the following equation
PQ = CD

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D and E are points on equal sides AB and AC of an isoceles triangle ABC such that AD=AE. Prove that B,C, E are concyclic

Answer

Practice important Questions

R.D. Sharma Solutions for Class 10 Chapter 4 2

Related questions

Which of the following can be used to prove that $Δ A B C ≅ Δ D E F$ ?

In the given figure, $R S = Q T$ and $Q S = R T .$ Prove that $P Q = P R$

Two vertical poles 20 m and 80 m high stand apart on a horizontal plane. The height of the point of intersection of the lines joining the top of each pole to the foot of the other is a' metros. Find 'a'

In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.

Given : $Δ N S Q ≅ Δ M T R$
$∠ 1 = ∠ 2$
To prove : $Δ P S T \sim Δ P Q R$

Looking at the figure select which method you would use to you prove $M L ≅ M N . O M$ bisects $∠ L M N$

In the given figure, OA = OC and AB = BC.
then, $∠ A O B = 9 0^{\circ}$

State whether the above statement is true or false.

Which of the following statements is true?

In the alongside diagram, ABCD is a parallelogram in which AP bisects angle A and BQ bisects angle B.
State whether true or false for the following equation
PQ = CD

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D and E are points on equal sides AB and AC of an isoceles triangle ABC such that AD=AE. Prove that B,C, E are concyclic

Answer

Practice important Questions

R.D. Sharma Solutions for Class 10 Chapter 4 2

Related questions

Which of the following can be used to prove that ΔABC≅ΔDEF?

In the given figure, RS=QT and QS=RT. Prove that PQ=PR

Two vertical poles 20 m and 80 m high stand apart on a horizontal plane. The height of the point of intersection of the lines joining the top of each pole to the foot of the other is a' metros. Find 'a'

In the following pairs of right triangles, the measures of some parts are indicated along side. State by the application of RHS congruence condition which are congruent. State the result in symbolic form.

Given : ΔNSQ≅ΔMTR ∠1=∠2 To prove : ΔPST∼ΔPQR

Looking at the figure select which method you would use to you prove ML≅MN.OM bisects ∠LMN

In the given figure, OA = OC and AB = BC.then,∠AOB=90∘ State whether the above statement is true or false.

Which of the following statements is true?

In the alongside diagram, ABCD is a parallelogram in which AP bisects angle A and BQ bisects angle B. State whether true or false for the following equationPQ = CD

Learn with content

Take Toppr Scholastic Test for Aptitude and Reasoning

Win exciting scholarships and plan a great education plan

Which of the following can be used to prove that $Δ A B C ≅ Δ D E F$ ?

In the given figure, $R S = Q T$ and $Q S = R T .$ Prove that $P Q = P R$

Given : $Δ N S Q ≅ Δ M T R$
$∠ 1 = ∠ 2$
To prove : $Δ P S T \sim Δ P Q R$

Looking at the figure select which method you would use to you prove $M L ≅ M N . O M$ bisects $∠ L M N$

In the given figure, OA = OC and AB = BC.
then, $∠ A O B = 9 0^{\circ}$

State whether the above statement is true or false.

In the alongside diagram, ABCD is a parallelogram in which AP bisects angle A and BQ bisects angle B.
State whether true or false for the following equation
PQ = CD